An algebra problem by Kaleem Kħặŋ

Algebra Level 2

What is the value of e i π + 1 e^{i \pi} + 1 ?


The answer is 0.

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1 solution

Akash Patalwanshi
May 28, 2016

Beautiful Euler Identity!!

e i π + 1 = cos π + i sin π + 1 e^{iπ} + 1 = \cosπ + i\sin π + 1 = 1 + 0 + 1 = 0 = -1 + 0 + 1 = 0 sin π = 0 , c o s π = 1 ∵\sin π = 0, cos π = -1

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